Figure of merit based on the spectral test. More...

#include <Spectral.h>

Public Member Functions
	Spectral (Real power=1.0)
	Constructor. More...

bool	symmetric () const

Real	power () const
	Returns the power parameter.

std::string	name () const

template<EmbeddingType ET, Compress COMPRESS, PerLevelOrder PLO = defaultPerLevelOrder<LatticeType::ORDINARY, ET>::Order>
Evaluator< Spectral, LatticeType::ORDINARY, ET, COMPRESS, PLO >	evaluator (Storage< LatticeType::ORDINARY, ET, COMPRESS, PLO > storage) const
	Creates an evaluator for the projection-dependent figure of merit.

Public Member Functions inherited from LatBuilder::ProjDepMerit::Base< Spectral< NORM > >
Storage< LR, ET, COMPRESS, PLO >::MeritValue	operator() (const Storage< LR, ET, COMPRESS, PLO > &storage, const LatDef< LR, ET > &lat, const LatticeTester::Coordinates &projection) const
	Computes the value of the figure of merit of lattice `lat` for projection `projection`.

std::string	name () const
	Returns the name of the figure of merit.

bool	symmetric () const
	Returns `true` if the value of the figure of merit is invariant under a reflection of the generating vector \(\boldsymbol a=(a_1, \dots, a_s)\) along any axis such that \(a_j \mapsto n - a_j\), where \(n\) is the number of points in the lattice point set.

Evaluator< Spectral< NORM >, LR, ET, COMPRESS, PLO >	evaluator (const Storage< LR, ET, COMPRESS, PLO > &storage) const
	Creates an evaluator for the projection-dependent figure of merit.

Spectral< NORM > &	derived ()

const Spectral< NORM > &	derived () const

Real	power () const

Static Public Member Functions
static constexpr Compress	suggestedCompression ()

template<EmbeddingType ET, Compress COMPRESS, PerLevelOrder PLO>
static Storage< LatticeType::ORDINARY, ET, COMPRESS >	asAcceptableStorage (Storage< LatticeType::ORDINARY, ET, COMPRESS, PLO > storage)

Detailed Description

Figure of merit based on the spectral test.

Implements the computation of the inverse length of the shortest dual vector in a lattice.

The value of the figure of merit is the normalized inverse length of the shortest dual vector, raised to a user-specified power.

Template Parameters

NORM	Normalizer type.

Examples:: tutorial/MeritSeqCBC.cc, tutorial/MeritSeqCBCSignals.cc, tutorial/WeightedFigureOfMerit.cc, tutorial/WeightedFigureOfMeritCBC.cc, and tutorial/WeightedFigureOfMeritSignals.cc.

Constructor & Destructor Documentation

template<class NORM >

LatBuilder::ProjDepMerit::Spectral< NORM >::Spectral ( Real power = 1.0 )

inline

Constructor.

Parameters

power Exponent to which the contribution for each contribution is raised.

The documentation for this class was generated from the following file: